Physics-
General
Easy

Question

A police car moving at22 blank m s to the power of negative 1 end exponent, changes a motorcyclist. The police man sounds his horn at 176 Hz, while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motorcycle, if it is given that he does not observe any beats.

  1. 33 m s to the power of negative 1 end exponent    
  2. 22 blank m s to the power of negative 1 end exponent    
  3. Zero    
  4. 11 m s to the power of negative 1 end exponent    

The correct answer is: 22 blank m s to the power of negative 1 end exponent


    The motorcyclist observes no beats. So the apparent frequency observed by him from the two sources must be equal.
    therefore 176 blank open parentheses fraction numerator 330 minus v over denominator 330 minus 22 end fraction close parentheses equals 165 blank open parentheses fraction numerator 330 plus v over denominator 330 end fraction close parentheses
    Solving this equation we get,
    v equals 22 m s to the power of negative 1 end exponent

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